Singular 4-Webs of Asymptotic Lines of Spacelike Surfaces in de Sitter 5-space

Singular 4-Webs of Asymptotic Lines of Spacelike Surfaces in de Sitter 5-space

In this paper, we continue the study of the geometry of spacelike surfaces in de Sitter 5-space. We define invariants of the second fundamental form and consider their geometrical properties. We also investigate generic properties of the surfaces defined as solutions of the equations of asymptotic d...

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Veröffentlicht in:Boletim da Sociedade Brasileira de Matemática 2020-03, Vol.51 (1), p.293-315
Hauptverfasser: Kasedou, Masaki, Nabarro, Ana Claudia, Ruas, Maria Aparecida Soares
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Zusammenfassung:In this paper, we continue the study of the geometry of spacelike surfaces in de Sitter 5-space. We define invariants of the second fundamental form and consider their geometrical properties. We also investigate generic properties of the surfaces defined as solutions of the equations of asymptotic directions (AD) and lightlike binormal directions (BD) of spacelike surfaces.
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-019-00153-0